| S~(n+1)中极小曲面的外刚性定理 |
| |
| 引用本文： | 宋来忠
,傅朝金.S~(n+1)中极小曲面的外刚性定理[J].湖北师范学院学报(哲学社会科学版),1993(3). |
| |
| 作者姓名： | 宋来忠 傅朝金 |
| |
| 摘 要： | 设M是S~(n+1)的闭定向极小超曲面,众所周知,如果M的高斯映射的象取决于S~(n+1)的开半球,则M为全测地。当n=2时此定理已由文2]准确地给出,本文讨论n≥2时的情形。
|
| 关 键 词： | 极小曲面 全测地 |
AN EXTRINSIC RIGIDITY THEOREM FOR MINIMAL SURFACES IN S~(n+1) |
| |
| Song Laizhong.AN EXTRINSIC RIGIDITY THEOREM FOR MINIMAL SURFACES IN S~(n+1)[J].Journal of Hubei Normal University(Philosophy and Social Science),1993(3). |
| |
| Authors: | Song Laizhong |
| |
| Institution: | Song Laizhong
(Institute of education yichang)
Fu Chaojin(Hubei Normal University) |
| |
| Abstract: | Let M be a closed oriented minimal hypersurfaces in Sn+1. It is well-Known that if the image of the Gauss map of M lies in an open hemisphere of Sn+1 ,then M must be totally geodesic. When n = 2 this theorem haved be sharp-end by2]. In this paper, we discuss the case of |
| |
| Keywords: | Mmimal surfaces Totally geodesic |
| 本文献已被 CNKI 等数据库收录！ |
